Find the form of all n in N satifying tow(n)=6. (sorry don't know how to write this Tex). What is the smallest positive integer n for which this is true?
tow(n)=6 so 6=(1+a1)(1+a2)----(1+ak) where n=p1^a1p2^a2---pk^ak
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We have for k=
I just don't know about the next step...
I tried different values of n:
Well 2^5 works
So n=p^5 or p1^2*p2?
And 12 is the smallest n?
hint: since 6 has only one non-trival factorization 6=2*3, we obtain k=2, and a_1 = 1, a_2 = 2.
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